{
  "id": "1308.3332",
  "version": "v2",
  "published": "2013-08-15T08:02:55.000Z",
  "updated": "2013-08-16T12:05:29.000Z",
  "title": "A decomposition theorem for positive maps, and the projection onto a spin factor",
  "authors": [
    "Erling Størmer"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "It is shown that each positive map between matrix algebras is the sum of a maximal decomposable map and an atomic map which is both optimal and co-optimal. The result is analyzed in detail for the positive projection onto a spin factor.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-16T12:05:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L99",
      "81P45"
    ],
    "keywords": [
      "spin factor",
      "positive map",
      "decomposition theorem",
      "atomic map",
      "matrix algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.3332S"
    }
  }
}